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17021 is a prime number
BaseRepresentation
bin100001001111101
3212100102
410021331
51021041
6210445
7100424
oct41175
925312
1017021
1111874
129a25
137994
1462bb
15509b
hex427d

17021 has 2 divisors, whose sum is σ = 17022. Its totient is φ = 17020.

The previous prime is 17011. The next prime is 17027. The reversal of 17021 is 12071.

Adding to 17021 its reverse (12071), we get a palindrome (29092).

Subtracting from 17021 its reverse (12071), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 170 and 21, that multiplied together give a triangular number (3570 = T84).

17021 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16900 + 121 = 130^2 + 11^2 .

It is an emirp because it is prime and its reverse (12071) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-17021 is a prime.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 17021 parts by 184 straight cuts.

It is a junction number, because it is equal to n+sod(n) for n = 16993 and 17011.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 17021.

It is not a weakly prime, because it can be changed into another prime (17027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8510 + 8511.

It is an arithmetic number, because the mean of its divisors is an integer number (8511).

217021 is an apocalyptic number.

It is an amenable number.

17021 is a deficient number, since it is larger than the sum of its proper divisors (1).

17021 is an equidigital number, since it uses as much as digits as its factorization.

17021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 17021 is about 130.4645545733. The cubic root of 17021 is about 25.7233991800.

The spelling of 17021 in words is "seventeen thousand, twenty-one", and thus it is an iban number.